Let be a time scale and , . We study the nonlinear fourth-order eigenvalue problem on , , , and obtain the existence and nonexistence of positive solutions when and , respectively, for some . The main tools to prove the existence results are the Schauder fixed point theorem and the upper and lower solution method.
"Positive Solutions of a Nonlinear Fourth-Order Dynamic Eigenvalue Problem on Time Scales." Abstr. Appl. Anal. 2012 (SI11) 1 - 17, 2012. https://doi.org/10.1155/2012/798796